Question

select the correct answer. the graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the household spends on chores per week. which equation best models this data set? a. y = -0.34x + 5.19 b. y = -0.34x - 5.19 c. y = 0.34x + 5.19 d. y = 0.34x - 5.19

Explanation:

Step1: Identify slope sign

The line in the graph is decreasing, so the slope of the line - of - best - fit should be negative. Options C ($y = 0.34x+5.19$) and D ($y = 0.34x - 5.19$) have positive slopes, so they can be eliminated.

Step2: Identify y - intercept

The line intersects the y - axis above the origin. For a linear equation $y=mx + b$, $b$ is the y - intercept. Option B ($y=-0.34x - 5.19$) has a negative y - intercept. Option A ($y=-0.34x + 5.19$) has a positive y - intercept.

Answer:

A. $y=-0.34x + 5.19$